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Finding the Fourth Proportional to 3,281.52, 4,924.12 and 1,742.48

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Solution

The fourth proportional to 3,281.52, 4,924.12 and 1,742.48 is: 2,614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.52 : 4,924.12 = 1,742.48 : x
  2. Step 2: Convert to fraction form
    3,281.52/4,924.12 = 1,742.48/x
  3. Step 3: Cross multiply
    3,281.52x = 4,924.12 × 1,742.48
  4. Step 4: Simplify right side
    3,281.52x = 8,580,180.62
  5. Step 5: Solve for x
    x = 8,580,180.62/3,281.52
  6. Step 6: Final answer
    x = 2,614.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.